The dimension-free structure of nonhomogeneous random matrices

DOI10.1007/s00222-018-0817-xzbMath1457.60011arXiv1711.00807OpenAlexW3098767745WikidataQ129247781 ScholiaQ129247781MaRDI QIDQ1628412

Rafał Latała, Pierre Youssef, Ramon van Handel

Publication date: 4 December 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00807

zbMATH Keywords

noncommutative Khintchine inequalityGaussian symmetric matricesSchatten class of operatorssymmetric random matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Noncommutative probability and statistics (46L53) Probabilistic methods in Banach space theory (46B09) Random matrices (algebraic aspects) (15B52)

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Cites Work

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• Sharp nonasymptotic bounds on the norm of random matrices with independent entries
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• Wigner random matrices with non-symmetrically distributed entries
• Concentration Inequalities
• Martingales in Banach Spaces
• The Expected Norm of Random Matrices
• Some estimates of norms of random matrices
• On the spectral norm of Gaussian random matrices
• An Introduction to Matrix Concentration Inequalities
• A property of interpolation spaces

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